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345442364070 = 2353713710612141
BaseRepresentation
bin1010000011011011111…
…10000010101010100110
31020000122110202022020020
411001231332002222212
521124431221122240
6422405524420010
733646245434646
oct5015576025246
91200573668206
10345442364070
11123557232a91
1256b47b47606
1326762594c2b
1412a10442526
158ebbd7d0d0
hex506df82aa6

345442364070 has 128 divisors (see below), whose sum is σ = 858893196672. Its totient is φ = 88848691200.

The previous prime is 345442364017. The next prime is 345442364081. The reversal of 345442364070 is 70463244543.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 161345200 + ... + 161347340.

It is an arithmetic number, because the mean of its divisors is an integer number (6710103099).

Almost surely, 2345442364070 is an apocalyptic number.

345442364070 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 345442364070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429446598336).

345442364070 is an abundant number, since it is smaller than the sum of its proper divisors (513450832602).

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

345442364070 is a wasteful number, since it uses less digits than its factorization.

345442364070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 345442364070 in words is "three hundred forty-five billion, four hundred forty-two million, three hundred sixty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 222 274 370 411 555 685 822 1061 1110 1370 2055 2122 2141 3183 4110 4282 5069 5305 6366 6423 10138 10610 10705 12846 15207 15915 21410 25345 30414 31830 32115 39257 50690 64230 76035 78514 79217 117771 145357 152070 158434 196285 235542 237651 290714 293317 392570 396085 436071 475302 586634 588855 726785 792170 872142 879951 1177710 1188255 1453570 1466585 1759902 2180355 2271601 2376510 2933170 4360710 4399755 4543202 5378209 6814803 8799510 10756418 10852729 11358005 13629606 16134627 21705458 22716010 26891045 32269254 32558187 34074015 53782090 54263645 65116374 68148030 80673135 84049237 108527290 161346270 162790935 168098474 252147711 311209337 325581870 420246185 504295422 622418674 840492370 933628011 1260738555 1556046685 1867256022 2521477110 3112093370 4668140055 9336280110 11514745469 23029490938 34544236407 57573727345 69088472814 115147454690 172721182035 345442364070