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3400500352 = 27534311163
BaseRepresentation
bin1100101010101111…
…1000010010000000
322202222122022112111
43022223320102000
523431012002402
61321232305104
7150160530124
oct31253702200
98688568474
103400500352
111495548277
127aa9a2194
1342266c7b2
1424389b584
1514d8059d7
hexcaaf8480

3400500352 has 64 divisors (see below), whose sum is σ = 6924216960. Its totient is φ = 1662868480.

The previous prime is 3400500307. The next prime is 3400500373. The reversal of 3400500352 is 2530050043.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2923323 + ... + 2924485.

It is an arithmetic number, because the mean of its divisors is an integer number (108190890).

Almost surely, 23400500352 is an apocalyptic number.

3400500352 is a gapful number since it is divisible by the number (32) 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 3400500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462108480).

3400500352 is an abundant number, since it is smaller than the sum of its proper divisors (3523716608).

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

3400500352 is a wasteful number, since it uses less digits than its factorization.

3400500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 3400500352 is about 58313.8092736189. The cubic root of 3400500352 is about 1503.7683549985.

Adding to 3400500352 its reverse (2530050043), we get a palindrome (5930550395).

The spelling of 3400500352 in words is "three billion, four hundred million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 431 848 862 1163 1696 1724 2326 3392 3448 4652 6784 6896 9304 13792 18608 22843 27584 37216 45686 55168 61639 74432 91372 123278 148864 182744 246556 365488 493112 501253 730976 986224 1002506 1461952 1972448 2005012 2923904 3944896 4010024 7889792 8020048 16040096 26566409 32080192 53132818 64160384 106265636 212531272 425062544 850125088 1700250176 3400500352