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7340034276 = 223210921312
BaseRepresentation
bin1101101011000000…
…00000100011100100
3200221112120101010100
412311200000203210
5110013022044101
63212202224100
7346615155561
oct66540004344
920845511110
107340034276
113127292433
12150a1b5030
138cc8b0063
144d8b91868
152ce5d4e86
hex1b58008e4

7340034276 has 81 divisors (see below), whose sum is σ = 18869793033. Its totient is φ = 2405725920.

The previous prime is 7340034217. The next prime is 7340034277. The reversal of 7340034276 is 6724300437.

It is a happy number.

The square root of 7340034276 is 85674.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5115968676 + 2224065600 = 71526^2 + 47160^2 .

It is a super-2 number, since 2×73400342762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7340034276.

It is not an unprimeable number, because it can be changed into a prime (7340034277) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56030731 + ... + 56030861.

Almost surely, 27340034276 is an apocalyptic number.

7340034276 is the 85674-th square number.

It is an amenable number.

7340034276 is an abundant number, since it is smaller than the sum of its proper divisors (11529758757).

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

7340034276 is a wasteful number, since it uses less digits than its factorization.

7340034276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The cubic root of 7340034276 is about 1943.4171428722.

Multiplying 7340034276 by its sum of digits (36), we get a square (264241233936 = 5140442).

7340034276 divided by its sum of digits (36) gives a square (203889841 = 142792).

The spelling of 7340034276 in words is "seven billion, three hundred forty million, thirty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 131 218 262 327 393 436 524 654 786 981 1179 1308 1572 1962 2358 3924 4716 11881 14279 17161 23762 28558 34322 35643 42837 47524 51483 57116 68644 71286 85674 102966 106929 128511 142572 154449 171348 205932 213858 257022 308898 427716 514044 617796 1556411 1870549 3112822 3741098 4669233 5611647 6225644 7482196 9338466 11223294 14007699 16834941 18676932 22446588 28015398 33669882 56030796 67339764 203889841 407779682 611669523 815559364 1223339046 1835008569 2446678092 3670017138 7340034276