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7346534052 = 22311132328093
BaseRepresentation
bin1101101011110001…
…10011011010100100
3200221222210121010210
412311320303122210
5110021203042202
63212553415420
7350024336424
oct66570633244
920858717123
107346534052
11312aa21850
12151040a570
13901047690
144d99a4484
152cee6ac6c
hex1b5e336a4

7346534052 has 144 divisors (see below), whose sum is σ = 21055019328. Its totient is φ = 1965384960.

The previous prime is 7346534023. The next prime is 7346534059. The reversal of 7346534052 is 2504356437.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7346534052.

It is not an unprimeable number, because it can be changed into a prime (7346534059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903718 + ... + 911810.

It is an arithmetic number, because the mean of its divisors is an integer number (146215412).

Almost surely, 27346534052 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 7346534052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527509664).

7346534052 is an abundant number, since it is smaller than the sum of its proper divisors (13708485276).

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

7346534052 is a wasteful number, since it uses less digits than its factorization.

7346534052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The square root of 7346534052 is about 85711.9247946282. The cubic root of 7346534052 is about 1943.9906210914.

The spelling of 7346534052 in words is "seven billion, three hundred forty-six million, five hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 529 572 598 759 858 897 1012 1058 1196 1518 1587 1716 1794 2116 3036 3174 3289 3588 5819 6348 6578 6877 8093 9867 11638 13156 13754 16186 17457 19734 20631 23276 24279 27508 32372 34914 39468 41262 48558 69828 75647 82524 89023 97116 105209 151294 178046 186139 210418 226941 267069 302588 315627 356092 372278 420836 453882 534138 558417 631254 744556 907764 1068276 1116834 1157299 1262508 2047529 2233668 2314598 2419807 3471897 4095058 4281197 4629196 4839614 6142587 6943794 7259421 8190116 8562394 9679228 12285174 12843591 13887588 14518842 17124788 24570348 25687182 26617877 29037684 47093167 51374364 53235754 55655561 79853631 94186334 106471508 111311122 141279501 159707262 166966683 188372668 222622244 282559002 319414524 333933366 565118004 612211171 667866732 1224422342 1836633513 2448844684 3673267026 7346534052