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3413204520 = 2335117393499
BaseRepresentation
bin1100101101110001…
…0101111000101000
322210212112202101020
43023130111320220
523442240021040
61322404452440
7150403521405
oct31334257050
98725482336
103413204520
1114a1735090
127b30aa120
1342519a15b
142454472ac
1514e9b4cd0
hexcb715e28

3413204520 has 128 divisors (see below), whose sum is σ = 11188800000. Its totient is φ = 826087680.

The previous prime is 3413204519. The next prime is 3413204521. The reversal of 3413204520 is 254023143.

3413204520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413204519) and next prime (3413204521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3413204521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973731 + ... + 977229.

It is an arithmetic number, because the mean of its divisors is an integer number (87412500).

Almost surely, 23413204520 is an apocalyptic number.

3413204520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400000).

3413204520 is an abundant number, since it is smaller than the sum of its proper divisors (7775595480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3413204520 is a wasteful number, since it uses less digits than its factorization.

3413204520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3413204520 is about 58422.6370510610. The cubic root of 3413204520 is about 1505.6387056608.

Adding to 3413204520 its reverse (254023143), we get a palindrome (3667227663).

The spelling of 3413204520 in words is "three billion, four hundred thirteen million, two hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 739 1320 1478 2217 2956 3499 3695 4434 5912 6998 7390 8129 8868 10497 11085 13996 14780 16258 17495 17736 20994 22170 24387 27992 29560 32516 34990 38489 40645 41988 44340 48774 52485 65032 69980 76978 81290 83976 88680 97548 104970 115467 121935 139960 153956 162580 192445 195096 209940 230934 243870 307912 325160 384890 419880 461868 487740 577335 769780 923736 975480 1154670 1539560 2309340 2585761 4618680 5171522 7757283 10343044 12928805 15514566 20686088 25857610 28443371 31029132 38786415 51715220 56886742 62058264 77572830 85330113 103430440 113773484 142216855 155145660 170660226 227546968 284433710 310291320 341320452 426650565 568867420 682640904 853301130 1137734840 1706602260 3413204520