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354020240016 = 243217922772
BaseRepresentation
bin1010010011011010100…
…00000010101010010000
31020211210021112112220100
411021231100002222100
521300013140140031
6430345030212400
734401644250432
oct5115520025220
91224707475810
10354020240016
11127159218163
12587407b4100
13274cb758781
14131c5774652
15931ee75de6
hex526d402a90

354020240016 has 135 divisors (see below), whose sum is σ = 999940746441. Its totient is φ = 116923853952.

The previous prime is 354020239961. The next prime is 354020240023. The reversal of 354020240016 is 610042020453.

The square root of 354020240016 is 594996.

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

354020240016 is a `hidden beast` number, since 3 + 5 + 40 + 202 + 400 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61018880400 + 293001359616 = 247020^2 + 541296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1278051270 + ... + 1278051546.

Almost surely, 2354020240016 is an apocalyptic number.

354020240016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

354020240016 is the 594996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354020240016

354020240016 is an abundant number, since it is smaller than the sum of its proper divisors (645920506425).

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

354020240016 is an equidigital number, since it uses as much as digits as its factorization.

354020240016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 354020240016 its reverse (610042020453), we get a palindrome (964062260469).

The spelling of 354020240016 in words is "three hundred fifty-four billion, twenty million, two hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 277 358 537 554 716 831 1074 1108 1432 1611 1662 2148 2216 2493 2864 3222 3324 4296 4432 4986 6444 6648 8592 9972 12888 13296 19944 25776 32041 39888 49583 64082 76729 96123 99166 128164 148749 153458 192246 198332 230187 256328 288369 297498 306916 384492 396664 446247 460374 512656 576738 594996 613832 690561 768984 793328 892494 920748 1153476 1189992 1227664 1381122 1537968 1784988 1841496 2306952 2379984 2762244 3569976 3682992 4613904 5524488 7139952 8875357 11048976 13734491 17750714 26626071 27468982 35501428 41203473 53252142 54937964 71002856 79878213 82406946 106504284 109875928 123610419 142005712 159756426 164813892 213008568 219751856 247220838 319512852 329627784 426017136 494441676 639025704 659255568 988883352 1278051408 1977766704 2458473889 4916947778 7375421667 9833895556 14750843334 19667791112 22126265001 29501686668 39335582224 44252530002 59003373336 88505060004 118006746672 177010120008 354020240016