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3414924870 = 235729683821
BaseRepresentation
bin1100101110001011…
…1001111001000110
322210222210011020220
43023202321321012
523443210043440
61322505405210
7150424245120
oct31342717106
98728704226
103414924870
1114a26aa665
127b3799806
13425650206
14245774210
1514ec048d0
hexcb8b9e46

3414924870 has 128 divisors (see below), whose sum is σ = 9715645440. Its totient is φ = 751618560.

The previous prime is 3414924869. The next prime is 3414924871. The reversal of 3414924870 is 784294143.

It is an interprime number because it is at equal distance from previous prime (3414924869) and next prime (3414924871).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414924871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4159060 + ... + 4159880.

It is an arithmetic number, because the mean of its divisors is an integer number (75903480).

Almost surely, 23414924870 is an apocalyptic number.

3414924870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414924870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857822720).

3414924870 is an abundant number, since it is smaller than the sum of its proper divisors (6300720570).

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

3414924870 is a wasteful number, since it uses less digits than its factorization.

3414924870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3414924870 is about 58437.3585131977. The cubic root of 3414924870 is about 1505.8916244328.

The spelling of 3414924870 in words is "three billion, four hundred fourteen million, nine hundred twenty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 683 821 870 1015 1218 1366 1642 2030 2049 2463 3045 3415 4098 4105 4781 4926 5747 6090 6830 8210 9562 10245 11494 12315 14343 17241 19807 20490 23809 23905 24630 28686 28735 34482 39614 47618 47810 57470 59421 71427 71715 86205 99035 118842 119045 138649 142854 143430 166663 172410 198070 238090 277298 297105 333326 357135 415947 499989 560743 594210 693245 714270 831894 833315 999978 1121486 1386490 1666630 1682229 2079735 2499945 2803715 3364458 3925201 4159470 4999890 5607430 7850402 8411145 11775603 16261547 16822290 19626005 23551206 32523094 39252010 48784641 58878015 81307735 97569282 113830829 117756030 162615470 227661658 243923205 341492487 487846410 569154145 682984974 1138308290 1707462435 3414924870