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3400343532 = 22326710313687
BaseRepresentation
bin1100101010101101…
…0001111111101100
322202222100100102100
43022223101333230
523430441443112
61321225055100
7150156304665
oct31253217754
98688310370
103400343532
111495450473
127aa927490
134226162c1
1424385a36c
1514d7c42dc
hexcaad1fec

3400343532 has 72 divisors (see below), whose sum is σ = 8808939776. Its totient is φ = 1105609824.

The previous prime is 3400343497. The next prime is 3400343533. The reversal of 3400343532 is 2353430043.

It is a happy number.

It is a super-2 number, since 2×34003435322 = 23124672271228470048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400343496 and 3400343505.

It is not an unprimeable number, because it can be changed into a prime (3400343533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241593 + ... + 255279.

Almost surely, 23400343532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400343532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404469888).

3400343532 is an abundant number, since it is smaller than the sum of its proper divisors (5408596244).

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

3400343532 is a wasteful number, since it uses less digits than its factorization.

3400343532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3400343532 is about 58312.4646366452. The cubic root of 3400343532 is about 1503.7452383437.

Adding to 3400343532 its reverse (2353430043), we get a palindrome (5753773575).

The spelling of 3400343532 in words is "three billion, four hundred million, three hundred forty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 103 134 201 206 268 309 402 412 603 618 804 927 1206 1236 1854 2412 3708 6901 13687 13802 20703 27374 27604 41061 41406 54748 62109 82122 82812 123183 124218 164244 246366 248436 492732 917029 1409761 1834058 2751087 2819522 3668116 4229283 5502174 5639044 8253261 8458566 11004348 12687849 16506522 16917132 25375698 33013044 50751396 94453987 188907974 283361961 377815948 566723922 850085883 1133447844 1700171766 3400343532