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3490736976 = 243279833697
BaseRepresentation
bin1101000000010000…
…0110101101010000
3100000021102210220200
43100010012231100
524122112040401
61334214335200
7152334526506
oct32004065520
910007383820
103490736976
1115314803a1
1281505a500
1343827534c
1425186a676
151566cc686
hexd0106b50

3490736976 has 120 divisors (see below), whose sum is σ = 10014775680. Its totient is φ = 1134701568.

The previous prime is 3490736971. The next prime is 3490736987. The reversal of 3490736976 is 6796370943.

It is a super-2 number, since 2×34907369762 = 24370489271227249152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490736971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942360 + ... + 946056.

It is an arithmetic number, because the mean of its divisors is an integer number (83456464).

Almost surely, 23490736976 is an apocalyptic number.

3490736976 is a gapful number since it is divisible by the number (36) 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 3490736976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007387840).

3490736976 is an abundant number, since it is smaller than the sum of its proper divisors (6524038704).

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

3490736976 is a wasteful number, since it uses less digits than its factorization.

3490736976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 3490736976 is about 59082.4591228226. The cubic root of 3490736976 is about 1516.9538741574.

The spelling of 3490736976 in words is "three billion, four hundred ninety million, seven hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 83 144 158 166 237 249 316 332 474 498 632 664 711 747 948 996 1264 1328 1422 1494 1896 1992 2844 2988 3697 3792 3984 5688 5976 6557 7394 11091 11376 11952 13114 14788 19671 22182 26228 29576 33273 39342 44364 52456 59013 59152 66546 78684 88728 104912 118026 133092 157368 177456 236052 266184 292063 306851 314736 472104 532368 584126 613702 876189 920553 944208 1168252 1227404 1752378 1841106 2336504 2454808 2628567 2761659 3504756 3682212 4673008 4909616 5257134 5523318 7009512 7364424 10514268 11046636 14019024 14728848 21028536 22093272 24241229 42057072 44186544 48482458 72723687 96964916 145447374 193929832 218171061 290894748 387859664 436342122 581789496 872684244 1163578992 1745368488 3490736976