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340001004 = 2237273892
BaseRepresentation
bin10100010001000…
…000000011101100
3212200202211200210
4110101000003230
51144020013004
653423222420
711265650400
oct2421000354
9780684623
10340001004
11164a15872
1295a47a10
1355594c35
1433227100
151ecb1089
hex144400ec

340001004 has 108 divisors (see below), whose sum is σ = 946131144. Its totient is φ = 94735872.

The previous prime is 340000993. The next prime is 340001033. The reversal of 340001004 is 400100043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3820192 + ... + 3820280.

Almost surely, 2340001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473065572).

340001004 is an abundant number, since it is smaller than the sum of its proper divisors (606130140).

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

340001004 is a wasteful number, since it uses less digits than its factorization.

340001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 340001004 is about 18439.1161393381. The cubic root of 340001004 is about 697.9538916951.

Adding to 340001004 its reverse (400100043), we get a palindrome (740101047).

The spelling of 340001004 in words is "three hundred forty million, one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 89 98 146 147 178 196 219 267 292 294 356 438 511 534 588 623 876 1022 1068 1246 1533 1869 2044 2492 3066 3577 3738 4361 6132 6497 7154 7476 7921 8722 10731 12994 13083 14308 15842 17444 19491 21462 23763 25988 26166 31684 38982 42924 45479 47526 52332 55447 77964 90958 95052 110894 136437 166341 181916 221788 272874 318353 332682 388129 545748 578233 636706 665364 776258 955059 1156466 1164387 1273412 1552516 1734699 1910118 2312932 2328774 3469398 3820236 4047631 4657548 6938796 8095262 12142893 16190524 24285786 28333417 48571572 56666834 85000251 113333668 170000502 340001004