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345161088 = 2739137
BaseRepresentation
bin10100100100101…
…011110110000000
3220001111000000000
4110210223312000
51201330123323
654130000000
711360551356
oct2444536600
9801430000
10345161088
1116791a6a8
1297716000
135668083c
1433bab7d6
152047ee43
hex1492bd80

345161088 has 160 divisors (see below), whose sum is σ = 1038949560. Its totient is φ = 114213888.

The previous prime is 345161057. The next prime is 345161093. The reversal of 345161088 is 880161543.

345161088 is a `hidden beast` number, since 34 + 5 + 1 + 610 + 8 + 8 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519356 + ... + 2519492.

Almost surely, 2345161088 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 345161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519474780).

345161088 is an abundant number, since it is smaller than the sum of its proper divisors (693788472).

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

345161088 is an frugal number, since it uses more digits than its factorization.

345161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 345161088 is about 18578.5114581336. The cubic root of 345161088 is about 701.4670511161.

The spelling of 345161088 in words is "three hundred forty-five million, one hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 243 274 288 324 384 411 432 486 548 576 648 729 822 864 972 1096 1152 1233 1296 1458 1644 1728 1944 2187 2192 2466 2592 2916 3288 3456 3699 3888 4374 4384 4932 5184 5832 6561 6576 7398 7776 8748 8768 9864 10368 11097 11664 13122 13152 14796 15552 17496 17536 19683 19728 22194 23328 26244 26304 29592 31104 33291 34992 39366 39456 44388 46656 52488 52608 59184 66582 69984 78732 78912 88776 93312 99873 104976 118368 133164 139968 157464 157824 177552 199746 209952 236736 266328 279936 299619 314928 355104 399492 419904 473472 532656 599238 629856 710208 798984 839808 898857 1065312 1198476 1259712 1420416 1597968 1797714 2130624 2396952 2519424 2696571 3195936 3595428 4261248 4793904 5393142 6391872 7190856 9587808 10786284 12783744 14381712 19175616 21572568 28763424 38351232 43145136 57526848 86290272 115053696 172580544 345161088