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3452465040 = 243531613757
BaseRepresentation
bin1100110111001000…
…0110111110010000
322220121102101200120
43031302012332100
524032312340130
61330330150240
7151361316513
oct31562067620
98817371616
103452465040
1115119100a2
12804282380
1343036522b
1424a746d7a
1515316c910
hexcdc86f90

3452465040 has 160 divisors (see below), whose sum is σ = 11080528896. Its totient is φ = 888330240.

The previous prime is 3452465039. The next prime is 3452465083. The reversal of 3452465040 is 405642543.

3452465040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3452464992 and 3452465010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4560342 + ... + 4561098.

Almost surely, 23452465040 is an apocalyptic number.

3452465040 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 3452465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540264448).

3452465040 is an abundant number, since it is smaller than the sum of its proper divisors (7628063856).

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

3452465040 is a wasteful number, since it uses less digits than its factorization.

3452465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3452465040 is about 58757.6806894214. The cubic root of 3452465040 is about 1511.3896013221.

The spelling of 3452465040 in words is "three billion, four hundred fifty-two million, four hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 613 620 744 757 930 1226 1240 1488 1514 1839 1860 2271 2452 2480 3028 3065 3678 3720 3785 4542 4904 6056 6130 7356 7440 7570 9084 9195 9808 11355 12112 12260 14712 15140 18168 18390 19003 22710 23467 24520 29424 30280 36336 36780 38006 45420 46934 49040 57009 60560 70401 73560 76012 90840 93868 95015 114018 117335 140802 147120 152024 181680 187736 190030 228036 234670 281604 285045 304048 352005 375472 380060 456072 464041 469340 563208 570090 704010 760120 912144 928082 938680 1126416 1140180 1392123 1408020 1520240 1856164 1877360 2280360 2320205 2784246 2816040 3712328 4560720 4640410 5568492 5632080 6960615 7424656 9280820 11136984 13921230 14385271 18561640 22273968 27842460 28770542 37123280 43155813 55684920 57541084 71926355 86311626 111369840 115082168 143852710 172623252 215779065 230164336 287705420 345246504 431558130 575410840 690493008 863116260 1150821680 1726232520 3452465040