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155434440 = 23357199739
BaseRepresentation
bin10010100001110…
…11110111001000
3101211110212222010
421100323313020
5304242400230
623231255520
73565112430
oct1120736710
9354425863
10155434440
117a814217
124407a5a0
1326282655
14169012c0
15d9a49b0
hex943bdc8

155434440 has 128 divisors (see below), whose sum is σ = 561024000. Its totient is φ = 33654528.

The previous prime is 155434427. The next prime is 155434441. The reversal of 155434440 is 44434551.

155434440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1554344402 = 48319730276227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155434398 and 155434407.

It is not an unprimeable number, because it can be changed into a prime (155434441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11091 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (4383000).

Almost surely, 2155434440 is an apocalyptic number.

155434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280512000).

155434440 is an abundant number, since it is smaller than the sum of its proper divisors (405589560).

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

155434440 is a wasteful number, since it uses less digits than its factorization.

155434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 155434440 is about 12467.3349197012. The cubic root of 155434440 is about 537.6699329288.

Adding to 155434440 its reverse (44434551), we get a palindrome (199868991).

The spelling of 155434440 in words is "one hundred fifty-five million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 9739 15960 19478 29217 38956 48695 58434 68173 77912 97390 116868 136346 146085 185041 194780 204519 233736 272692 292170 340865 370082 389560 409038 545384 555123 584340 681730 740164 818076 925205 1022595 1110246 1168680 1295287 1363460 1480328 1636152 1850410 2045190 2220492 2590574 2726920 2775615 3700820 3885861 4090380 4440984 5181148 5551230 6476435 7401640 7771722 8180760 10362296 11102460 12952870 15543444 19429305 22204920 25905740 31086888 38858610 51811480 77717220 155434440