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342753444 = 22351132057
BaseRepresentation
bin10100011011100…
…000000010100100
3212212221200100000
4110123200002210
51200221102234
654002221300
711331233115
oct2433400244
9785850300
10342753444
11166525810
1296954830
13560199b7
143374220c
1520156899
hex146e00a4

342753444 has 72 divisors (see below), whose sum is σ = 980205408. Its totient is φ = 103861440.

The previous prime is 342753431. The next prime is 342753457. The reversal of 342753444 is 444357243.

It is an interprime number because it is at equal distance from previous prime (342753431) and next prime (342753457).

It is a super-2 number, since 2×3427534442 = 234959846747722272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 342753399 and 342753408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (13613964).

Almost surely, 2342753444 is an apocalyptic number.

It is an amenable number.

342753444 is an abundant number, since it is smaller than the sum of its proper divisors (637451964).

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

342753444 is a wasteful number, since it uses less digits than its factorization.

342753444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32087 (or 32073 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 342753444 is about 18513.6015945034. The cubic root of 342753444 is about 699.8322346257.

The spelling of 342753444 in words is "three hundred forty-two million, seven hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 32057 64114 96171 128228 192342 288513 352627 384684 577026 705254 865539 1057881 1154052 1410508 1731078 2115762 2596617 3173643 3462156 4231524 5193234 6347286 7789851 9520929 10386468 12694572 15579702 19041858 28562787 31159404 38083716 57125574 85688361 114251148 171376722 342753444