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154340004 = 223721361331
BaseRepresentation
bin10010011001100…
…00101010100100
3101202102021200110
421030300222210
5304002340004
623152013020
73552603600
oct1114605244
9352367613
10154340004
117a136a25
1243831170
1325c8b460
14166d8500
15d83a589
hex9330aa4

154340004 has 144 divisors (see below), whose sum is σ = 459928896. Its totient is φ = 39916800.

The previous prime is 154339981. The next prime is 154340023. The reversal of 154340004 is 400043451.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466119 + ... + 466449.

Almost surely, 2154340004 is an apocalyptic number.

154340004 is a gapful number since it is divisible by the number (14) 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 154340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229964448).

154340004 is an abundant number, since it is smaller than the sum of its proper divisors (305588892).

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

154340004 is a wasteful number, since it uses less digits than its factorization.

154340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 154340004 is about 12423.3652445704. The cubic root of 154340004 is about 536.4050226385.

Adding to 154340004 its reverse (400043451), we get a palindrome (554383455).

The spelling of 154340004 in words is "one hundred fifty-four million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 61 78 84 91 98 122 147 156 182 183 196 244 273 294 331 364 366 427 546 588 637 662 732 793 854 993 1092 1274 1281 1324 1586 1708 1911 1986 2317 2379 2548 2562 2989 3172 3822 3972 4303 4634 4758 5124 5551 5978 6951 7644 8606 8967 9268 9516 11102 11956 12909 13902 16219 16653 17212 17934 20191 22204 25818 27804 30121 32438 33306 35868 38857 40382 48657 51636 60242 60573 64876 66612 77714 80764 90363 97314 116571 120484 121146 141337 155428 180726 194628 210847 233142 242292 262483 282674 361452 421694 424011 466284 524966 565348 632541 787449 843388 848022 989359 1049932 1265082 1574898 1696044 1837381 1978718 2530164 2968077 3149796 3674762 3957436 5512143 5936154 7349524 11024286 11872308 12861667 22048572 25723334 38585001 51446668 77170002 154340004