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3457374030 = 2345112316871
BaseRepresentation
bin1100111000010011…
…0101011101001110
322220221122210120000
43032010311131032
524040041432110
61331023305130
7151451123445
oct31604653516
98827583500
103457374030
111514663310
12805a4b1a6
13431393766
1424b263d5c
151537dc1c0
hexce13574e

3457374030 has 160 divisors (see below), whose sum is σ = 10583198208. Its totient is φ = 801662400.

The previous prime is 3457374029. The next prime is 3457374071. The reversal of 3457374030 is 304737543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196495 + ... + 213365.

Almost surely, 23457374030 is an apocalyptic number.

3457374030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457374030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291599104).

3457374030 is an abundant number, since it is smaller than the sum of its proper divisors (7125824178).

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

3457374030 is a wasteful number, since it uses less digits than its factorization.

3457374030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3457374030 is about 58799.4390279363. The cubic root of 3457374030 is about 1512.1056001454.

It can be divided in two parts, 34573740 and 30, that added together give a triangular number (34573770 = T8315).

The spelling of 3457374030 in words is "three billion, four hundred fifty-seven million, three hundred seventy-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 81 90 99 110 115 135 138 162 165 198 207 230 253 270 297 330 345 405 414 495 506 594 621 690 759 810 891 990 1035 1242 1265 1485 1518 1782 1863 2070 2277 2530 2970 3105 3726 3795 4455 4554 6210 6831 7590 8910 9315 11385 13662 16871 18630 20493 22770 33742 34155 40986 50613 68310 84355 101226 102465 151839 168710 185581 204930 253065 303678 371162 388033 455517 506130 556743 759195 776066 911034 927905 1113486 1164099 1366551 1518390 1670229 1855810 1940165 2277585 2328198 2733102 2783715 3340458 3492297 3880330 4268363 4555170 5010687 5567430 5820495 6832755 6984594 8351145 8536726 10021374 10476891 11640990 12805089 13665510 15032061 16702290 17461485 20953782 21341815 25053435 25610178 30064122 31430673 34922970 38415267 42683630 50106870 52384455 62861346 64025445 75160305 76830534 104768910 115245801 128050890 150320610 157153365 192076335 230491602 314306730 345737403 384152670 576229005 691474806 1152458010 1728687015 3457374030